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math.DG2019
On Sullivan's construction of eigenfunctions via exit times of Brownian motion
Kingshook Biswas
The purpose of this note is to give details for an argument of Sullivan to construct eigenfunctions of the Laplacian on a Riemannian manifold using exit times of Brownian motion \c…
math.DG2019
The Fourier transform on harmonic manifolds of purely exponential volume growth
Kingshook Biswas, Gerhard Knieper, Norbert Peyerimhoff
Let be a complete, simply connected harmonic manifold of purely exponential volume growth. This class contains all non-flat harmonic manifolds of non-positive curvature and, in…